from math import ceil, floor, log from abc import abstractmethod from numbers import Integral import numpy as np from ._search import _check_param_grid from ._search import BaseSearchCV from . import ParameterGrid, ParameterSampler from ..utils.validation import _num_samples from ..base import is_classifier from ._split import check_cv, _yields_constant_splits from ..utils import resample __all__ = ['HalvingGridSearchCV', 'HalvingRandomSearchCV'] class _SubsampleMetaSplitter: """Splitter that subsamples a given fraction of the dataset""" def __init__(self, *, base_cv, fraction, subsample_test, random_state): self.base_cv = base_cv self.fraction = fraction self.subsample_test = subsample_test self.random_state = random_state def split(self, X, y, groups=None): for train_idx, test_idx in self.base_cv.split(X, y, groups): train_idx = resample( train_idx, replace=False, random_state=self.random_state, n_samples=int(self.fraction * train_idx.shape[0]) ) if self.subsample_test: test_idx = resample( test_idx, replace=False, random_state=self.random_state, n_samples=int(self.fraction * test_idx.shape[0]) ) yield train_idx, test_idx def _refit_callable(results): # Custom refit callable to return the index of the best candidate. We want # the best candidate out of the last iteration. By default BaseSearchCV # would return the best candidate out of all iterations. last_iter = np.max(results['iter']) last_iter_indices = np.flatnonzero(results['iter'] == last_iter) best_idx = np.argmax(results['mean_test_score'][last_iter_indices]) return last_iter_indices[best_idx] def _top_k(results, k, itr): # Return the best candidates of a given iteration iteration, mean_test_score, params = ( np.asarray(a) for a in (results['iter'], results['mean_test_score'], results['params']) ) iter_indices = np.flatnonzero(iteration == itr) sorted_indices = np.argsort(mean_test_score[iter_indices]) return np.array(params[iter_indices][sorted_indices[-k:]]) class BaseSuccessiveHalving(BaseSearchCV): """Implements successive halving. Ref: Almost optimal exploration in multi-armed bandits, ICML 13 Zohar Karnin, Tomer Koren, Oren Somekh """ def __init__(self, estimator, *, scoring=None, n_jobs=None, refit=True, cv=5, verbose=0, random_state=None, error_score=np.nan, return_train_score=True, max_resources='auto', min_resources='exhaust', resource='n_samples', factor=3, aggressive_elimination=False): refit = _refit_callable if refit else False super().__init__(estimator, scoring=scoring, n_jobs=n_jobs, refit=refit, cv=cv, verbose=verbose, error_score=error_score, return_train_score=return_train_score) self.random_state = random_state self.max_resources = max_resources self.resource = resource self.factor = factor self.min_resources = min_resources self.aggressive_elimination = aggressive_elimination def _check_input_parameters(self, X, y, groups): if self.scoring is not None and not (isinstance(self.scoring, str) or callable(self.scoring)): raise ValueError('scoring parameter must be a string, ' 'a callable or None. Multimetric scoring is not ' 'supported.') # We need to enforce that successive calls to cv.split() yield the same # splits: see https://github.com/scikit-learn/scikit-learn/issues/15149 if not _yields_constant_splits(self._checked_cv_orig): raise ValueError( "The cv parameter must yield consistent folds across " "calls to split(). Set its random_state to an int, or set " "shuffle=False." ) if (self.resource != 'n_samples' and self.resource not in self.estimator.get_params()): raise ValueError( f'Cannot use resource={self.resource} which is not supported ' f'by estimator {self.estimator.__class__.__name__}' ) if (isinstance(self.max_resources, str) and self.max_resources != 'auto'): raise ValueError( "max_resources must be either 'auto' or a positive integer" ) if self.max_resources != 'auto' and ( not isinstance(self.max_resources, Integral) or self.max_resources <= 0): raise ValueError( "max_resources must be either 'auto' or a positive integer" ) if self.min_resources not in ('smallest', 'exhaust') and ( not isinstance(self.min_resources, Integral) or self.min_resources <= 0): raise ValueError( "min_resources must be either 'smallest', 'exhaust', " "or a positive integer " "no greater than max_resources." ) if isinstance(self, HalvingRandomSearchCV): if self.min_resources == self.n_candidates == 'exhaust': # for n_candidates=exhaust to work, we need to know what # min_resources is. Similarly min_resources=exhaust needs to # know the actual number of candidates. raise ValueError( "n_candidates and min_resources cannot be both set to " "'exhaust'." ) if self.n_candidates != 'exhaust' and ( not isinstance(self.n_candidates, Integral) or self.n_candidates <= 0): raise ValueError( "n_candidates must be either 'exhaust' " "or a positive integer" ) self.min_resources_ = self.min_resources if self.min_resources_ in ('smallest', 'exhaust'): if self.resource == 'n_samples': n_splits = self._checked_cv_orig.get_n_splits(X, y, groups) # please see https://gph.is/1KjihQe for a justification magic_factor = 2 self.min_resources_ = n_splits * magic_factor if is_classifier(self.estimator): n_classes = np.unique(y).shape[0] self.min_resources_ *= n_classes else: self.min_resources_ = 1 # if 'exhaust', min_resources_ might be set to a higher value later # in _run_search self.max_resources_ = self.max_resources if self.max_resources_ == 'auto': if not self.resource == 'n_samples': raise ValueError( "max_resources can only be 'auto' if resource='n_samples'") self.max_resources_ = _num_samples(X) if self.min_resources_ > self.max_resources_: raise ValueError( f'min_resources_={self.min_resources_} is greater ' f'than max_resources_={self.max_resources_}.' ) def fit(self, X, y=None, groups=None, **fit_params): """Run fit with all sets of parameters. Parameters ---------- X : array-like, shape (n_samples, n_features) Training vector, where n_samples is the number of samples and n_features is the number of features. y : array-like, shape (n_samples,) or (n_samples, n_output), optional Target relative to X for classification or regression; None for unsupervised learning. groups : array-like of shape (n_samples,), default=None Group labels for the samples used while splitting the dataset into train/test set. Only used in conjunction with a "Group" :term:`cv` instance (e.g., :class:`~sklearn.model_selection.GroupKFold`). **fit_params : dict of string -> object Parameters passed to the ``fit`` method of the estimator """ self._checked_cv_orig = check_cv( self.cv, y, classifier=is_classifier(self.estimator)) self._check_input_parameters( X=X, y=y, groups=groups, ) self._n_samples_orig = _num_samples(X) super().fit(X, y=y, groups=None, **fit_params) # Set best_score_: BaseSearchCV does not set it, as refit is a callable self.best_score_ = ( self.cv_results_['mean_test_score'][self.best_index_]) return self def _run_search(self, evaluate_candidates): candidate_params = self._generate_candidate_params() if self.resource != 'n_samples' and any( self.resource in candidate for candidate in candidate_params): # Can only check this now since we need the candidates list raise ValueError( f"Cannot use parameter {self.resource} as the resource since " "it is part of the searched parameters." ) # n_required_iterations is the number of iterations needed so that the # last iterations evaluates less than `factor` candidates. n_required_iterations = 1 + floor(log(len(candidate_params), self.factor)) if self.min_resources == 'exhaust': # To exhaust the resources, we want to start with the biggest # min_resources possible so that the last (required) iteration # uses as many resources as possible last_iteration = n_required_iterations - 1 self.min_resources_ = max( self.min_resources_, self.max_resources_ // self.factor**last_iteration ) # n_possible_iterations is the number of iterations that we can # actually do starting from min_resources and without exceeding # max_resources. Depending on max_resources and the number of # candidates, this may be higher or smaller than # n_required_iterations. n_possible_iterations = 1 + floor(log( self.max_resources_ // self.min_resources_, self.factor)) if self.aggressive_elimination: n_iterations = n_required_iterations else: n_iterations = min(n_possible_iterations, n_required_iterations) if self.verbose: print(f'n_iterations: {n_iterations}') print(f'n_required_iterations: {n_required_iterations}') print(f'n_possible_iterations: {n_possible_iterations}') print(f'min_resources_: {self.min_resources_}') print(f'max_resources_: {self.max_resources_}') print(f'aggressive_elimination: {self.aggressive_elimination}') print(f'factor: {self.factor}') self.n_resources_ = [] self.n_candidates_ = [] for itr in range(n_iterations): power = itr # default if self.aggressive_elimination: # this will set n_resources to the initial value (i.e. the # value of n_resources at the first iteration) for as many # iterations as needed (while candidates are being # eliminated), and then go on as usual. power = max( 0, itr - n_required_iterations + n_possible_iterations ) n_resources = int(self.factor**power * self.min_resources_) # guard, probably not needed n_resources = min(n_resources, self.max_resources_) self.n_resources_.append(n_resources) n_candidates = len(candidate_params) self.n_candidates_.append(n_candidates) if self.verbose: print('-' * 10) print(f'iter: {itr}') print(f'n_candidates: {n_candidates}') print(f'n_resources: {n_resources}') if self.resource == 'n_samples': # subsampling will be done in cv.split() cv = _SubsampleMetaSplitter( base_cv=self._checked_cv_orig, fraction=n_resources / self._n_samples_orig, subsample_test=True, random_state=self.random_state ) else: # Need copy so that the n_resources of next iteration does # not overwrite candidate_params = [c.copy() for c in candidate_params] for candidate in candidate_params: candidate[self.resource] = n_resources cv = self._checked_cv_orig more_results = {'iter': [itr] * n_candidates, 'n_resources': [n_resources] * n_candidates} results = evaluate_candidates(candidate_params, cv, more_results=more_results) n_candidates_to_keep = ceil(n_candidates / self.factor) candidate_params = _top_k(results, n_candidates_to_keep, itr) self.n_remaining_candidates_ = len(candidate_params) self.n_required_iterations_ = n_required_iterations self.n_possible_iterations_ = n_possible_iterations self.n_iterations_ = n_iterations @abstractmethod def _generate_candidate_params(self): pass class HalvingGridSearchCV(BaseSuccessiveHalving): """Search over specified parameter values with successive halving. The search strategy starts evaluating all the candidates with a small amount of resources and iteratively selects the best candidates, using more and more resources. Read more in the :ref:`User guide `. .. note:: This estimator is still **experimental** for now: the predictions and the API might change without any deprecation cycle. To use it, you need to explicitly import ``enable_halving_search_cv``:: >>> # explicitly require this experimental feature >>> from sklearn.experimental import enable_halving_search_cv # noqa >>> # now you can import normally from model_selection >>> from sklearn.model_selection import HalvingGridSearchCV Parameters ---------- estimator : estimator object. This is assumed to implement the scikit-learn estimator interface. Either estimator needs to provide a ``score`` function, or ``scoring`` must be passed. param_grid : dict or list of dictionaries Dictionary with parameters names (string) as keys and lists of parameter settings to try as values, or a list of such dictionaries, in which case the grids spanned by each dictionary in the list are explored. This enables searching over any sequence of parameter settings. factor : int or float, default=3 The 'halving' parameter, which determines the proportion of candidates that are selected for each subsequent iteration. For example, ``factor=3`` means that only one third of the candidates are selected. resource : ``'n_samples'`` or str, default='n_samples' Defines the resource that increases with each iteration. By default, the resource is the number of samples. It can also be set to any parameter of the base estimator that accepts positive integer values, e.g. 'n_iterations' or 'n_estimators' for a gradient boosting estimator. In this case ``max_resources`` cannot be 'auto' and must be set explicitly. max_resources : int, default='auto' The maximum amount of resource that any candidate is allowed to use for a given iteration. By default, this is set to ``n_samples`` when ``resource='n_samples'`` (default), else an error is raised. min_resources : {'exhaust', 'smallest'} or int, default='exhaust' The minimum amount of resource that any candidate is allowed to use for a given iteration. Equivalently, this defines the amount of resources `r0` that are allocated for each candidate at the first iteration. - 'smallest' is a heuristic that sets `r0` to a small value: - ``n_splits * 2`` when ``resource='n_samples'`` for a regression problem - ``n_classes * n_splits * 2`` when ``resource='n_samples'`` for a classification problem - ``1`` when ``resource != 'n_samples'`` - 'exhaust' will set `r0` such that the **last** iteration uses as much resources as possible. Namely, the last iteration will use the highest value smaller than ``max_resources`` that is a multiple of both ``min_resources`` and ``factor``. In general, using 'exhaust' leads to a more accurate estimator, but is slightly more time consuming. Note that the amount of resources used at each iteration is always a multiple of ``min_resources``. aggressive_elimination : bool, default=False This is only relevant in cases where there isn't enough resources to reduce the remaining candidates to at most `factor` after the last iteration. If ``True``, then the search process will 'replay' the first iteration for as long as needed until the number of candidates is small enough. This is ``False`` by default, which means that the last iteration may evaluate more than ``factor`` candidates. See :ref:`aggressive_elimination` for more details. cv : int, cross-validation generator or iterable, default=5 Determines the cross-validation splitting strategy. Possible inputs for cv are: - integer, to specify the number of folds in a `(Stratified)KFold`, - :term:`CV splitter`, - An iterable yielding (train, test) splits as arrays of indices. For integer/None inputs, if the estimator is a classifier and ``y`` is either binary or multiclass, :class:`StratifiedKFold` is used. In all other cases, :class:`KFold` is used. Refer :ref:`User Guide ` for the various cross-validation strategies that can be used here. .. note:: Due to implementation details, the folds produced by `cv` must be the same across multiple calls to `cv.split()`. For built-in `scikit-learn` iterators, this can be achieved by deactivating shuffling (`shuffle=False`), or by setting the `cv`'s `random_state` parameter to an integer. scoring : string, callable, or None, default=None A single string (see :ref:`scoring_parameter`) or a callable (see :ref:`scoring`) to evaluate the predictions on the test set. If None, the estimator's score method is used. refit : bool, default=True If True, refit an estimator using the best found parameters on the whole dataset. The refitted estimator is made available at the ``best_estimator_`` attribute and permits using ``predict`` directly on this ``GridSearchCV`` instance. error_score : 'raise' or numeric Value to assign to the score if an error occurs in estimator fitting. If set to 'raise', the error is raised. If a numeric value is given, FitFailedWarning is raised. This parameter does not affect the refit step, which will always raise the error. Default is ``np.nan`` return_train_score : bool, default=False If ``False``, the ``cv_results_`` attribute will not include training scores. Computing training scores is used to get insights on how different parameter settings impact the overfitting/underfitting trade-off. However computing the scores on the training set can be computationally expensive and is not strictly required to select the parameters that yield the best generalization performance. random_state : int, RandomState instance or None, default=None Pseudo random number generator state used for subsampling the dataset when `resources != 'n_samples'`. Ignored otherwise. Pass an int for reproducible output across multiple function calls. See :term:`Glossary `. n_jobs : int or None, default=None Number of jobs to run in parallel. ``None`` means 1 unless in a :obj:`joblib.parallel_backend` context. ``-1`` means using all processors. See :term:`Glossary ` for more details. verbose : int Controls the verbosity: the higher, the more messages. Attributes ---------- n_resources_ : list of int The amount of resources used at each iteration. n_candidates_ : list of int The number of candidate parameters that were evaluated at each iteration. n_remaining_candidates_ : int The number of candidate parameters that are left after the last iteration. It corresponds to `ceil(n_candidates[-1] / factor)` max_resources_ : int The maximum number of resources that any candidate is allowed to use for a given iteration. Note that since the number of resources used at each iteration must be a multiple of ``min_resources_``, the actual number of resources used at the last iteration may be smaller than ``max_resources_``. min_resources_ : int The amount of resources that are allocated for each candidate at the first iteration. n_iterations_ : int The actual number of iterations that were run. This is equal to ``n_required_iterations_`` if ``aggressive_elimination`` is ``True``. Else, this is equal to ``min(n_possible_iterations_, n_required_iterations_)``. n_possible_iterations_ : int The number of iterations that are possible starting with ``min_resources_`` resources and without exceeding ``max_resources_``. n_required_iterations_ : int The number of iterations that are required to end up with less than ``factor`` candidates at the last iteration, starting with ``min_resources_`` resources. This will be smaller than ``n_possible_iterations_`` when there isn't enough resources. cv_results_ : dict of numpy (masked) ndarrays A dict with keys as column headers and values as columns, that can be imported into a pandas ``DataFrame``. It contains many informations for analysing the results of a search. Please refer to the :ref:`User guide` for details. best_estimator_ : estimator or dict Estimator that was chosen by the search, i.e. estimator which gave highest score (or smallest loss if specified) on the left out data. Not available if ``refit=False``. best_score_ : float Mean cross-validated score of the best_estimator. best_params_ : dict Parameter setting that gave the best results on the hold out data. best_index_ : int The index (of the ``cv_results_`` arrays) which corresponds to the best candidate parameter setting. The dict at ``search.cv_results_['params'][search.best_index_]`` gives the parameter setting for the best model, that gives the highest mean score (``search.best_score_``). scorer_ : function or a dict Scorer function used on the held out data to choose the best parameters for the model. n_splits_ : int The number of cross-validation splits (folds/iterations). refit_time_ : float Seconds used for refitting the best model on the whole dataset. This is present only if ``refit`` is not False. See Also -------- :class:`HalvingRandomSearchCV`: Random search over a set of parameters using successive halving. Notes ----- The parameters selected are those that maximize the score of the held-out data, according to the scoring parameter. Examples -------- >>> from sklearn.datasets import load_iris >>> from sklearn.ensemble import RandomForestClassifier >>> from sklearn.experimental import enable_halving_search_cv # noqa >>> from sklearn.model_selection import HalvingGridSearchCV ... >>> X, y = load_iris(return_X_y=True) >>> clf = RandomForestClassifier(random_state=0) ... >>> param_grid = {"max_depth": [3, None], ... "min_samples_split": [5, 10]} >>> search = HalvingGridSearchCV(clf, param_grid, resource='n_estimators', ... max_resources=10, ... random_state=0).fit(X, y) >>> search.best_params_ # doctest: +SKIP {'max_depth': None, 'min_samples_split': 10, 'n_estimators': 9} """ _required_parameters = ["estimator", "param_grid"] def __init__(self, estimator, param_grid, *, factor=3, resource='n_samples', max_resources='auto', min_resources='exhaust', aggressive_elimination=False, cv=5, scoring=None, refit=True, error_score=np.nan, return_train_score=True, random_state=None, n_jobs=None, verbose=0): super().__init__(estimator, scoring=scoring, n_jobs=n_jobs, refit=refit, verbose=verbose, cv=cv, random_state=random_state, error_score=error_score, return_train_score=return_train_score, max_resources=max_resources, resource=resource, factor=factor, min_resources=min_resources, aggressive_elimination=aggressive_elimination) self.param_grid = param_grid _check_param_grid(self.param_grid) def _generate_candidate_params(self): return ParameterGrid(self.param_grid) class HalvingRandomSearchCV(BaseSuccessiveHalving): """Randomized search on hyper parameters. The search strategy starts evaluating all the candidates with a small amount of resources and iteratively selects the best candidates, using more and more resources. The candidates are sampled at random from the parameter space and the number of sampled candidates is determined by ``n_candidates``. Read more in the :ref:`User guide`. .. note:: This estimator is still **experimental** for now: the predictions and the API might change without any deprecation cycle. To use it, you need to explicitly import ``enable_halving_search_cv``:: >>> # explicitly require this experimental feature >>> from sklearn.experimental import enable_halving_search_cv # noqa >>> # now you can import normally from model_selection >>> from sklearn.model_selection import HalvingRandomSearchCV Parameters ---------- estimator : estimator object. This is assumed to implement the scikit-learn estimator interface. Either estimator needs to provide a ``score`` function, or ``scoring`` must be passed. param_distributions : dict Dictionary with parameters names (string) as keys and distributions or lists of parameters to try. Distributions must provide a ``rvs`` method for sampling (such as those from scipy.stats.distributions). If a list is given, it is sampled uniformly. n_candidates : int, default='exhaust' The number of candidate parameters to sample, at the first iteration. Using 'exhaust' will sample enough candidates so that the last iteration uses as many resources as possible, based on `min_resources`, `max_resources` and `factor`. In this case, `min_resources` cannot be 'exhaust'. factor : int or float, default=3 The 'halving' parameter, which determines the proportion of candidates that are selected for each subsequent iteration. For example, ``factor=3`` means that only one third of the candidates are selected. resource : ``'n_samples'`` or str, default='n_samples' Defines the resource that increases with each iteration. By default, the resource is the number of samples. It can also be set to any parameter of the base estimator that accepts positive integer values, e.g. 'n_iterations' or 'n_estimators' for a gradient boosting estimator. In this case ``max_resources`` cannot be 'auto' and must be set explicitly. max_resources : int, default='auto' The maximum number of resources that any candidate is allowed to use for a given iteration. By default, this is set ``n_samples`` when ``resource='n_samples'`` (default), else an error is raised. min_resources : {'exhaust', 'smallest'} or int, default='smallest' The minimum amount of resource that any candidate is allowed to use for a given iteration. Equivalently, this defines the amount of resources `r0` that are allocated for each candidate at the first iteration. - 'smallest' is a heuristic that sets `r0` to a small value: - ``n_splits * 2`` when ``resource='n_samples'`` for a regression problem - ``n_classes * n_splits * 2`` when ``resource='n_samples'`` for a classification problem - ``1`` when ``resource != 'n_samples'`` - 'exhaust' will set `r0` such that the **last** iteration uses as much resources as possible. Namely, the last iteration will use the highest value smaller than ``max_resources`` that is a multiple of both ``min_resources`` and ``factor``. In general, using 'exhaust' leads to a more accurate estimator, but is slightly more time consuming. 'exhaust' isn't available when `n_candidates='exhaust'`. Note that the amount of resources used at each iteration is always a multiple of ``min_resources``. aggressive_elimination : bool, default=False This is only relevant in cases where there isn't enough resources to reduce the remaining candidates to at most `factor` after the last iteration. If ``True``, then the search process will 'replay' the first iteration for as long as needed until the number of candidates is small enough. This is ``False`` by default, which means that the last iteration may evaluate more than ``factor`` candidates. See :ref:`aggressive_elimination` for more details. cv : int, cross-validation generator or an iterable, default=5 Determines the cross-validation splitting strategy. Possible inputs for cv are: - integer, to specify the number of folds in a `(Stratified)KFold`, - :term:`CV splitter`, - An iterable yielding (train, test) splits as arrays of indices. For integer/None inputs, if the estimator is a classifier and ``y`` is either binary or multiclass, :class:`StratifiedKFold` is used. In all other cases, :class:`KFold` is used. Refer :ref:`User Guide ` for the various cross-validation strategies that can be used here. .. note:: Due to implementation details, the folds produced by `cv` must be the same across multiple calls to `cv.split()`. For built-in `scikit-learn` iterators, this can be achieved by deactivating shuffling (`shuffle=False`), or by setting the `cv`'s `random_state` parameter to an integer. scoring : string, callable, or None, default=None A single string (see :ref:`scoring_parameter`) or a callable (see :ref:`scoring`) to evaluate the predictions on the test set. If None, the estimator's score method is used. refit : bool, default=True If True, refit an estimator using the best found parameters on the whole dataset. The refitted estimator is made available at the ``best_estimator_`` attribute and permits using ``predict`` directly on this ``GridSearchCV`` instance. error_score : 'raise' or numeric Value to assign to the score if an error occurs in estimator fitting. If set to 'raise', the error is raised. If a numeric value is given, FitFailedWarning is raised. This parameter does not affect the refit step, which will always raise the error. Default is ``np.nan`` return_train_score : bool, default=False If ``False``, the ``cv_results_`` attribute will not include training scores. Computing training scores is used to get insights on how different parameter settings impact the overfitting/underfitting trade-off. However computing the scores on the training set can be computationally expensive and is not strictly required to select the parameters that yield the best generalization performance. random_state : int, RandomState instance or None, default=None Pseudo random number generator state used for subsampling the dataset when `resources != 'n_samples'`. Also used for random uniform sampling from lists of possible values instead of scipy.stats distributions. Pass an int for reproducible output across multiple function calls. See :term:`Glossary `. n_jobs : int or None, default=None Number of jobs to run in parallel. ``None`` means 1 unless in a :obj:`joblib.parallel_backend` context. ``-1`` means using all processors. See :term:`Glossary ` for more details. verbose : int Controls the verbosity: the higher, the more messages. Attributes ---------- n_resources_ : list of int The amount of resources used at each iteration. n_candidates_ : list of int The number of candidate parameters that were evaluated at each iteration. n_remaining_candidates_ : int The number of candidate parameters that are left after the last iteration. It corresponds to `ceil(n_candidates[-1] / factor)` max_resources_ : int The maximum number of resources that any candidate is allowed to use for a given iteration. Note that since the number of resources used at each iteration must be a multiple of ``min_resources_``, the actual number of resources used at the last iteration may be smaller than ``max_resources_``. min_resources_ : int The amount of resources that are allocated for each candidate at the first iteration. n_iterations_ : int The actual number of iterations that were run. This is equal to ``n_required_iterations_`` if ``aggressive_elimination`` is ``True``. Else, this is equal to ``min(n_possible_iterations_, n_required_iterations_)``. n_possible_iterations_ : int The number of iterations that are possible starting with ``min_resources_`` resources and without exceeding ``max_resources_``. n_required_iterations_ : int The number of iterations that are required to end up with less than ``factor`` candidates at the last iteration, starting with ``min_resources_`` resources. This will be smaller than ``n_possible_iterations_`` when there isn't enough resources. cv_results_ : dict of numpy (masked) ndarrays A dict with keys as column headers and values as columns, that can be imported into a pandas ``DataFrame``. It contains many informations for analysing the results of a search. Please refer to the :ref:`User guide` for details. best_estimator_ : estimator or dict Estimator that was chosen by the search, i.e. estimator which gave highest score (or smallest loss if specified) on the left out data. Not available if ``refit=False``. best_score_ : float Mean cross-validated score of the best_estimator. best_params_ : dict Parameter setting that gave the best results on the hold out data. best_index_ : int The index (of the ``cv_results_`` arrays) which corresponds to the best candidate parameter setting. The dict at ``search.cv_results_['params'][search.best_index_]`` gives the parameter setting for the best model, that gives the highest mean score (``search.best_score_``). scorer_ : function or a dict Scorer function used on the held out data to choose the best parameters for the model. n_splits_ : int The number of cross-validation splits (folds/iterations). refit_time_ : float Seconds used for refitting the best model on the whole dataset. This is present only if ``refit`` is not False. See Also -------- :class:`HalvingGridSearchCV`: Search over a grid of parameters using successive halving. Notes ----- The parameters selected are those that maximize the score of the held-out data, according to the scoring parameter. Examples -------- >>> from sklearn.datasets import load_iris >>> from sklearn.ensemble import RandomForestClassifier >>> from sklearn.experimental import enable_halving_search_cv # noqa >>> from sklearn.model_selection import HalvingRandomSearchCV >>> from scipy.stats import randint ... >>> X, y = load_iris(return_X_y=True) >>> clf = RandomForestClassifier(random_state=0) >>> np.random.seed(0) ... >>> param_distributions = {"max_depth": [3, None], ... "min_samples_split": randint(2, 11)} >>> search = HalvingRandomSearchCV(clf, param_distributions, ... resource='n_estimators', ... max_resources=10, ... random_state=0).fit(X, y) >>> search.best_params_ # doctest: +SKIP {'max_depth': None, 'min_samples_split': 10, 'n_estimators': 9} """ _required_parameters = ["estimator", "param_distributions"] def __init__(self, estimator, param_distributions, *, n_candidates='exhaust', factor=3, resource='n_samples', max_resources='auto', min_resources='smallest', aggressive_elimination=False, cv=5, scoring=None, refit=True, error_score=np.nan, return_train_score=True, random_state=None, n_jobs=None, verbose=0): super().__init__(estimator, scoring=scoring, n_jobs=n_jobs, refit=refit, verbose=verbose, cv=cv, random_state=random_state, error_score=error_score, return_train_score=return_train_score, max_resources=max_resources, resource=resource, factor=factor, min_resources=min_resources, aggressive_elimination=aggressive_elimination) self.param_distributions = param_distributions self.n_candidates = n_candidates def _generate_candidate_params(self): n_candidates_first_iter = self.n_candidates if n_candidates_first_iter == 'exhaust': # This will generate enough candidate so that the last iteration # uses as much resources as possible n_candidates_first_iter = ( self.max_resources_ // self.min_resources_) return ParameterSampler(self.param_distributions, n_candidates_first_iter, random_state=self.random_state)